Answer:
The base is 4.2426.
Step-by-step explanation:
Logarithm definition:
Suppose we have that:
[tex]\log_{a}{b} = c[/tex]
It means that;
[tex]b = a^c[/tex]
In this question:
[tex]\log_{x}{(5832)} = 6[/tex]
It means that:
[tex]x^6 = 5832[/tex]
[tex]x = \sqrt[6]{5832}[/tex]
[tex]x = (5832)^{\frac{1}{6}}[/tex]
[tex]x = 4.2626[/tex]
The base is 4.2426.
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answer:
edf
Step-by-step explanation:
In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?
Select all that apply
The value of c can be found using the formula 30+837
The value of c can be found using the formula C/8.37 = 3
Each baseball cost $25.11
Each boseball cost $279
Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula .The value of c can be foun
Step-by-step explanation:
Select all numbers that have an absolute value of 4.
The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)
Answer:
Step-by-step explanation:
From the given table,
Ratio of each successive term in the row showing salary (y) is,
Ratio = [tex]\frac{30}{15}[/tex] = 2
Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.
y = a(b)ˣ
For x = 0, y = 15,
15 = a(b)⁰
a = 15
For x = 1, y = 30,
30 = 15(b)¹
b = 2
Therefore, exponential function Or exponential model will be,
y = 15(2)ˣ
Projected salary in 9 years [For x = 9],
y = 15(2)⁹
y = 15 × 512
y = $7680
For the salary more than $3 million [For y = $3000000],
3000000 = 15(2)ˣ
2ˣ = 200000
log(2)ˣ = log(200000)
xlog2 = log(2×10⁵)
xlog2 = log2 + log(10)⁵
(x - 1)log2 = 5
x - 1 = [tex]\frac{5}{\text{log2}}[/tex]
x = 16.609 + 1
x = 17.609
x ≈ 17.61 years
Plz help me by solving this problem and showing how you got it
Answer:
y =84
Step-by-step explanation:
25/100*Y = 21
100/25 * 25y/100 =21 *100/25
y = 2100/25
y = 84
help help help help help helo help
Answer:
50.27
452.39
0.79
Step-by-step explanation:
A=πr2=π·42≈50.26548
A=πr2=π·122≈452.38934
A=πr2=π·0.52≈0.7854
Determine the minimum sample size required when you want to be99 % confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of
Question 7 (3 points)
Cris borrowed $10,000 at an interest rate of 6% compounded daily. What is her approximate balance at the end of 4 years?
A $14,100
B $14,400
C $11,800
D $13,500
E $12,700
Chow do I solve 6w - 6 = 54
Answer:
w = 10
Step-by-step explanation:
6w - 6 = 54
6w = 54 + 6
6w = 60
w = 60/6
w = 10
Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answer:
SSS Theorem
[tex]x = 35.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]
This gives:
[tex]\frac{14}{25} = \frac{20}{x}[/tex]
Cross multiply
[tex]14 * x = 20 * 25[/tex]
[tex]14 * x = 500[/tex]
Solve for x
[tex]x = \frac{500}{14}[/tex]
[tex]x = 35.7[/tex] -- approximated
A factory begun producing new parts. Data were collected on the
number of defective parts per 10,000 parts produced. The graph
shown displays some of the data for the first 10 weeks of production.
Write an equation that best models the data?
The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(10, 60) and (9, 70)
The line equation of best fit:
(y - 70) = (70-60)/(9-10)(x-9)
y - 70 = -10(x-9)
y - 70 = -10x + 90
10x + y = 160
Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
Learn more about the linear equation here:
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2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x
Answer:
What is your question
Step-by-step explanation:
Find the missing angle
Answer:
x+63=90(complementary angle)
x=90-63
x=27
whats the absolute value of 23
Answer:
-23
Step-by-step explanation:
x2 + 16x – 2 = 11
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x - c)2 = d.
I
+
utan
pls help
Answer:
(x+8)^2=77 and x=negative 8±√77
Step-by-step explanation:
After watching a video, I got it right on Khan
The equation with completing the squares is (x + 8)² = 77.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 16x - 2 = 11
We can make complete squares.
x² + 16x - 2 - 11 = 0
x² + 16x - 13 = 0
x² + 2 x 8 x (x) -8² + 8² - 13 = 0
(x² + 16x + 8²) - 64 - 13 = 0
(x + 8)² - 77 = 0
(x + 8)² = 77
Thus,
The equation is (x + 8)² = 77.
Learn more about equations here:
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If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?
Answer:
74
Step-by-step explanation:
The cost of half-a-dozeon dozen candies for this case will be $3.6
How much a dozen consists of ?A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.
For this case, it is given that:
Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)A dozen contains 12 quantities.
A dozen dozen candies means 12 times 12 = 144 candies
half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes
That means:
144 candies cost 72 dimes.
Dividing both quantities by 144 to get price of 1 candy:
144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)
Half a dozen times dozen candies = 72 candies
1 candy costs 0.05 dollars
72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.
Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6
Learn more about forming equations here:
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Johnny Appleseed was creating a fractal tree design:
The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256
Answer:
The total leaves on the 7th tree is, 127.
Explanation:
Definition of sequence and series:A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.
Step by step:
The total leave will be on 7th tree are calculated.
Multiply term 2 and add term 1, to get the next digit.
According, to the question:
[tex]1[/tex]×[tex]2+1=3[/tex]
[tex]3[/tex]×[tex]2+1=7[/tex]
[tex]7[/tex]×[tex]2+1=15[/tex]
[tex]15[/tex]×[tex]2+1=31[/tex]
[tex]31[/tex]×[tex]2+1=63[/tex]
[tex]63[/tex]×[tex]2+1=127[/tex]
Hence, the 7th tree will have a total of 127 leaves.
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Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers
Answer:
Step-by-step explanation:
28 : 50 and 15 : 30
14 : 25 and 1 : 2 are not equivalent
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.
Do think it is A, B, C, D?
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
An absolute value function would fail what kind of test? *
the horizontal line test
the vertical line test
the regression formula test
the exponential formula test
Answer:
The horizontal line test.
Step-by-step explanation:
If you do the test, the horizontal line will intersect at 2 points.
If n12=1536
then n=
Hellllllllllllllppppp
Answer:
this should help you understand...
Step-by-step explanation:
A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?
Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
please help
Answer:
interest=P(1+r/100)^n-P
interest=3316.25(1+2.5/5200)^676-3316.25
=1273.18 (nearest cent)
How many 4 digit numbers are multiples of 8?
Answer:
The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.
The best fit line is given by the equation y=0.5x+0.4
, where y represents the distance in miles, and x represents the time for the trip in minutes.
Use the best fit line to estimate the distance for a trip that takes 20 minutes.
Enter your response in the box. Give the answer to the tenths place.
miles
Answer:
The anwser is 10.4
Step-by-step explanation:
0.5(20)+0.4
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45